Example 10.1 The mass of the earth is6 X 1024 kg and that of the moon

1.	Example 10.1 The mass of the earth is6 X 1024 kg and that of the moon is7.4 x 1022 kg. If the distance betweenthe earth and the moon is 3.84x10 km,calculate the force exerted by the earthon the moon. G = 6.7 x 10-11 N m2 kg-2.
Answer» Answer: 2 × 10³⁰ N Explanation: GIVEN : MASS of EARTH = 6 × 10²⁴ kg Mass of moon = 7.4 × 10²² kg Distance between them = 3.84105 km = 3.84105 × 10³ m We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻² We have to find FORCE : We have : F = G m₁ m₂ / r² F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / ( 3.84105 × 10³ )² N F = 2 × 10³⁰ N Hence force exerted by the earth on the moon is 2 × 10³⁰ N.

Example 10.1 The mass of the earth is6 X 1024 kg and that of the moon is7.4 x 1022 kg. If the distance betweenthe earth and the moon is 3.84x10 km,calculate the force exerted by the earthon the moon. G = 6.7 x 10-11 N m2 kg-2.

Answer»

Answer:

2 × 10³⁰ N

Explanation:

GIVEN :

MASS of EARTH = 6 × 10²⁴ kg

Mass of moon = 7.4 × 10²² kg

Distance between them = 3.84105 km = 3.84105 × 10³ m

We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻²

We have to find FORCE :

We have :

F = G m₁ m₂ / r²

F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / ( 3.84105 × 10³ )² N

F = 2 × 10³⁰ N

Hence force exerted by the earth on the moon is 2 × 10³⁰ N.

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Example 10.1 The mass of the earth is6 X 1024 kg and that of the moon is7.4 x 1022 kg. If the distance betweenthe earth and the moon is 3.84x10 km,calculate the force exerted by the earthon the moon. G = 6.7 x 10-11 N m2 kg-2.​